Solved: Use of DiracComb to sample a function

Question

I want to illustrate the ideal sampling of a signal by a dirac comb. Mathematically it is just the multiplication of the signal with a dirac comb. Therefore I'd like to use the DiracComb function. But I don't understand how to use the DiracComb to evaluate the sampled signal. Can someone give me an example?

What do you mean by evaluating a sampled signal? Is it something like this: Integrate[Exp[-t^2] DiracComb[t], {t, 0, 10}]? — Michael E2, Sep 27 '16 at 14:07
Do you want to replace the infinite Dirac spike with a unit spike? Then maybe DiscretePlot[signal[t], {t, 0, 10}]? — Michael E2, Sep 27 '16 at 15:32
Or Table[{t, signal[t]}, {t, 0, 10}]? (Visualize with ListPlot[].) — Michael E2, Sep 27 '16 at 15:54

score 2 · Answer 1 · answered Sep 28 '16 at 09:33

2

Thanks a lot for your help. If I use the DiscreteDelta and DiscretePlot I get what I want.

DiscretePlot[Sum[DiscreteDelta[t - n] Sin[t], {n, Infinity}], {t, 0, 10}]

answered Sep 28 '16 at 09:33

user43388

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Solved: Use of DiracComb to sample a function

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